SOLUTION: In the following state the restrictions on x A) y = sqrt(x-6) B) y= sqrt(2-x) C) y= 5/4-x D) y=8/4-x^2

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Question 1122434: In the following state the restrictions on x
A) y = sqrt(x-6)
B) y= sqrt(2-x)
C) y= 5/4-x
D) y=8/4-x^2
Found 2 solutions by josgarithmetic, Alex.33:
Answer by josgarithmetic(39621) (Show Source):
You can put this solution on YOUR website!
I believe I know what you mean in C and D but they are ambiguous so not helping on them.

for

and

for

Answer by Alex.33(110) (Show Source):
You can put this solution on YOUR website!
Note: when an expression is under the square root, if the result need to be a real number it need to be greater than or equal to zero. If it doesn't need to be(can be complex technically), there's no restrictions.
When y and x are defined in all real numbers:
A:

B:

C,D: none because any real number x gets a real outcome y.

When they're defined in complex set:
No restrictions at all. Any value gets a complex result.